论文标题
光谱格的同构
Isomorphisms of spectral lattices
论文作者
论文摘要
该论文处理了直接的AW*-FACTORS的某些频谱sblattices之间的频谱顺序同构。我们证明，这些地图由各个直接汇总的光谱司血之间的频谱顺序同构组成。因此，在原子AW* - 代数的情况下，我们获得了光谱顺序同构的完整描述。这包括矩阵代数的设置。此外，我们还表现出频谱顺序的一般形式的正态形态形态，在直接的AW*-FACTORS的各种光谱sublattics之间。
The paper deals with spectral order isomorphisms between certain spectral sublattices of direct sums of AW*-factors. We prove that these maps consist of spectral order isomorphisms between spectral sublattices of individual direct summands. Consequently, we obtain a complete description of spectral order isomorphisms in the case of atomic AW*-algebras. This includes the setting of matrix algebras. Moreover, we also exhibit the general form of spectral order orthoisomorphisms between various spectral sublattices of direct sums of AW*-factors.
